Question

consider the following graph of the function g. from the given graph of g, state the numbers at which g is discontinuous. (enter your answers as a comma - separated list.) x = -3,0,1,3 x resources

Explanation:

Step1: Recall continuity criteria

A function is discontinuous where there are jumps, holes or vertical asymptotes.

Step2: Analyze the graph

At \(x=- 2\), there is a hole in the graph, so the function is discontinuous at \(x = - 2\). At \(x=0\), there is a jump - the left - hand limit and the right - hand limit are not equal to the function value at \(x = 0\), so the function is discontinuous at \(x=0\). At \(x = 1\), there is a jump in the graph, so the function is discontinuous at \(x = 1\).

Answer:

-2,0,1